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November, 1981 Tests for Independence in Two-Way Contingency Tables Based on Canonical Correlation and on Linear-By-Linear Interaction
Shelby J. Haberman
Ann. Statist. 9(6): 1178-1186 (November, 1981). DOI: 10.1214/aos/1176345635

Abstract

Tests for independence of rows and columns in an $r \times s$ contingency table are developed from canonical correlation analysis and from models of linear-by-linear interaction. The resulting test statistics are asymptotically equivalent under the null hypothesis. They are consistent and asymptotically unbiased. Approximate critical values are available from existing tables. The proposed tests are most appropriate when the matrix of joint probabilities is well approximated by a matrix of rank 2. Against some alternatives which may arise in such tables, the proposed statistics have greater asymptotic power than conventional chi-square tests of independence.

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Shelby J. Haberman. "Tests for Independence in Two-Way Contingency Tables Based on Canonical Correlation and on Linear-By-Linear Interaction." Ann. Statist. 9 (6) 1178 - 1186, November, 1981. https://doi.org/10.1214/aos/1176345635

Information

Published: November, 1981
First available in Project Euclid: 12 April 2007

zbMATH: 0479.62043
MathSciNet: MR630101
Digital Object Identifier: 10.1214/aos/1176345635

Subjects:
Primary: 62F05
Secondary: 62H20

Rights: Copyright © 1981 Institute of Mathematical Statistics

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Vol.9 • No. 6 • November, 1981
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